package _17_剑指Offer;

public class _47_剑指Offer礼物的最大价值 {

    public static void main(String[] args) {

        _47_剑指Offer礼物的最大价值 v = new _47_剑指Offer礼物的最大价值();

        int[][] ins = new int[][]{
                {1, 3, 1},
                {1, 5, 1},
                {4, 2, 1},
        };

        System.out.println(v.maxValue(ins));

    }

    public int maxValue(int[][] grid) {
        int row = grid.length;
        int col = grid[0].length;

        int[][] dp = new int[row][col];
        // 初始化dp数据
        dp[0][0] = grid[0][0];
        for (int i = 1; i < row; i++) {
            dp[i][0] += dp[i - 1][0] + grid[i][0];
        }
        for (int i = 1; i < col; i++) {
            dp[0][i] += dp[0][i - 1] + grid[0][i];
        }

        for (int i = 1; i < row; i++) {
            for (int j = 1; j < col; j++) {
                dp[i][j] = Math.max(dp[i - 1][j], dp[i][j - 1]) + grid[i][j];
            }
        }
        return dp[row - 1][col - 1];
    }

}
